• NIPS (Neural Information Processing Systems Foundation) http://books.nips.cc/nips23.html
• ROBIO (Robotics & Biomimetics, IEEE membership required) http://ieeexplore.ieee.org/servlet/opac?punumber=1000856
• CogSIMA (Conference on Cognitive Methods for Situational Awareness and Decision Support)
• BRIMS (Behaviour Representation in Modelling Simulation) http://brimsconference.org/past/
• … more to be updated.

However, lately I find myself needing a lot of linear algebra and playing with matrices – so.  Time to make things easy for myself and make a cheat-sheet of all the stuff I’ll need.

Maybe it’ll be of some small use to someone else, but usual disclaimers as to accuracy apply.  Up to a few weeks ago the math notation used in most text books was all Greek to me (oho!), so forgive me if this is elementary.

A great resource for this stuff is here, and another good one is here.  Also, when you’re trying to find out the command for a particular symbol, try detexify - you can draw what you want and it’ll present you with a list of trained examples!  Very nice, comes in iPad flavour too.  I’ve tried out a few of the examples on this page, as an exercise.

I’m using quick LaTeX which is by far the best plugin I’ve tried. Thoroughly recommended.

My favourite  symbol is . Good to know.

Symbols

means:

alpha, Alpha, beta, Beta, gamma, Gamma, pi, Pi, phi, varphi, Phi. (Missing characters mean just use normal uppercase roman characters, like

Lambda ()-ish calc notation

means:

For all x in X, exists Y less than equal to epsilon

and denote  A is a subset of B.  However, is more properly used to denote a proper subset. (Set Theory)

Geometry

Thus, something like should refer to a vector of values for x indexed at 1 and of m length, that is a subset of real numbers.  However, would refer instead to the Cartesian product of n copies of R, i.e. essentially an n-length cartesian coordinate describing a point in n-dimensional space.  That is to say, when used in the context of the above example, we are now looking at a vector of coordinates in n-dimensional space, where i is a number between 1 and m, and is a cartesian coordinate describing a point in space.

Math

means:

The sum of all values for  where the value of is between 1 and 10.

means:

The same except the range of values is the variable and you multiply each value instead of summing it.

means:

The root of n divided by the product of all values of n.

means:

The equivalent of

refers to:

Expected values of whatever

means:

The magnitude/length of x, or more correctly its norm (length seems more meaningful, but who am I to argue?)

means:

Can mean the same as the above! Or an absolute value of a scalar; or the determinant of a matrix.

means:

The distance between x and y (or the magnitude of the delta of x and y, same thing)

means:

The dot product of x and y.

Can mean the compliment of x (i.e. a subset of it); hence the symbol for mean, which refers to a subset of the total population of x?

Matrices

Capitalised characters are used to denote a Matrix.  Lowercase roman letters denote variables or vectors, such as in:

Generic matrix with equation numbering:

(1)  

Variation… m, n, refer to rows, cols

(2)  

Probability

means the probability that y is equal to 1, given x parameterised by theta, is 0.7
x is distributed as N(params).
Geometry

Aymptote = curve that approaches zero distance to a line or axis as it approaches infinity.

Essentially my wifi dongle packed up, and my desktop is too far from the hub to route a cable through.  What I ended up doing was repurposing an old laptop with a decent wifi card.  My desktop is connected to the laptop via a network cable, and the laptop is set to automatically boot into a suitable account, fire up the wifi and connect.

Setup: House router, other devices connected to it via wifi.  My desktop, no wifi dongle.

I tried bridging the connections which I assume to be the correct method, but it wasn’t having any despite all connections working just fine seperately (i.e. LAN and wifi/internet on the ‘router’ laptop).

What I ended up doing was enabling internet connection sharing (ICS) on the laptop’s wifi (which was configured appropriately), and the LAN connection (which auto-configures on the laptop side).

On the client desktop (Win 7), I used the following settings:

IP Address:   192.168.0.2

Subnet: 255.255.255.0

Gateway: 192.168.0.1

DNS Server: 192.168.0.1

When you use ICS, essentially all computers connected to the host (my laptop ‘router’ in this case) all connect under their own submask.  This should work fine most of the time.

Now, internet was restored and all was well. My desktop could see the router and therefore the internet, plus it had a nice fast cable link to the laptop for speedy backups on the laptops drives.

Problem though: my desktop couldn’t navigate to other shares networked directly to the actual router (i.e. not my laptop, the proper house router) using their names, i.e. DEVICE1 etc, although IP addresses are fine.

Solution to this was a little weird; See screenshot.

Under the DNS settings, and further down still even, you need to add the suffix ‘home’, where ‘home’ is whatever your main router’s DNS suffix is.  This will ensure you can find things by name on your local network whilst working through an ICS connection sharing your house or office’s main routed internet connection.  It unfortunately, doesn’t work both ways, other devices won’t be able to find your ICS client by name.

I’m no expert in this network stuff, but I’ve got as far as I need!

You can find the page here.